What is the Greatest Common Factor of 22055 and 22075?

Greatest common factor (GCF) of 22055 and 22075 is 5.

GCF(22055,22075) = 5

We will now calculate the prime factors of 22055 and 22075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22055 and 22075.

How to find the GCF of 22055 and 22075?

We will first find the prime factorization of 22055 and 22075. After we will calculate the factors of 22055 and 22075 and find the biggest common factor number .

Step-1: Prime Factorization of 22055

Prime factors of 22055 are 5, 11, 401. Prime factorization of 22055 in exponential form is:

22055 = 5¹ × 11¹ × 401¹

Step-2: Prime Factorization of 22075

Prime factors of 22075 are 5, 883. Prime factorization of 22075 in exponential form is:

22075 = 5² × 883¹

Step-3: Factors of 22055

List of positive integer factors of 22055 that divides 22055 without a remainder.

1, 5, 11, 55, 401, 2005, 4411

Step-4: Factors of 22075

List of positive integer factors of 22075 that divides 22055 without a remainder.

1, 5, 25, 883, 4415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22055 and 22075. The biggest common factor number is the GCF number.
So the greatest common factor 22055 and 22075 is 5.

Also check out the Least Common Multiple of 22055 and 22075